TY - JOUR AB - We extend the notion of the minimal volume ellipsoid containing a convex body in Rd to the setting of logarithmically concave functions. We consider a vast class of logarithmically concave functions whose superlevel sets are concentric ellipsoids. For a fixed function from this class, we consider the set of all its “affine” positions. For any log-concave function f on Rd, we consider functions belonging to this set of “affine” positions, and find the one with the minimal integral under the condition that it is pointwise greater than or equal to f. We study the properties of existence and uniqueness of the solution to this problem. For any s∈[0,+∞), we consider the construction dual to the recently defined John s-function (Ivanov and Naszódi in Functional John ellipsoids. arXiv preprint: arXiv:2006.09934, 2020). We prove that such a construction determines a unique function and call it the Löwner s-function of f. We study the Löwner s-functions as s tends to zero and to infinity. Finally, extending the notion of the outer volume ratio, we define the outer integral ratio of a log-concave function and give an asymptotically tight bound on it. AU - Ivanov, Grigory AU - Tsiutsiurupa, Igor ID - 9548 JF - Journal of Geometric Analysis SN - 1050-6926 TI - Functional Löwner ellipsoids VL - 31 ER - TY - GEN AB - Data for the manuscript 'Closing of the Induced Gap in a Hybrid Superconductor-Semiconductor Nanowire' ([2006.01275] Closing of the Induced Gap in a Hybrid Superconductor-Semiconductor Nanowire (arxiv.org)) We upload a pdf with extended data sets, and the raw data for these extended datasets as well. AU - Puglia, Denise AU - Martinez, Esteban AU - Menard, Gerbold AU - Pöschl, Andreas AU - Gronin, Sergei AU - Gardner, Geoffrey AU - Kallaher, Ray AU - Manfra, Michael AU - Marcus, Charles AU - Higginbotham, Andrew P AU - Casparis, Lucas ID - 13080 TI - Data for 'Closing of the Induced Gap in a Hybrid Superconductor-Semiconductor Nanowire ER - TY - JOUR AB - We report the synthesis and characterization of graphene functionalized with iron (Fe3+) oxide (G-Fe3O4) nanohybrids for radio-frequency magnetic hyperthermia application. We adopted the wet chemical procedure, using various contents of Fe3O4 (magnetite) from 0–100% for making two-dimensional graphene–Fe3O4 nanohybrids. The homogeneous dispersal of Fe3O4 nanoparticles decorated on the graphene surface combined with their biocompatibility and high thermal conductivity make them an excellent material for magnetic hyperthermia. The morphological and magnetic properties of the nanohybrids were studied using scanning electron microscopy (SEM) and a vibrating sample magnetometer (VSM), respectively. The smart magnetic platforms were exposed to an alternating current (AC) magnetic field of 633 kHz and of strength 9.1 mT for studying their hyperthermic performance. The localized antitumor effects were investigated with artificial neural network modeling. A neural net time-series model was developed for the assessment of the best nanohybrid composition to serve the purpose with an accuracy close to 100%. Six Nonlinear Autoregressive with External Input (NARX) models were obtained, one for each of the components. The assessment of the accuracy of the predicted results has been done on the basis of Mean Squared Error (MSE). The highest Mean Squared Error value was obtained for the nanohybrid containing 45% magnetite and 55% graphene (F45G55) in the training phase i.e., 0.44703, which is where the model achieved optimal results after 71 epochs. The F45G55 nanohybrid was found to be the best for hyperthermia applications in low dosage with the highest specific absorption rate (SAR) and mean squared error values. AU - Dar, M. S. AU - Akram, Khush Bakhat AU - Sohail, Ayesha AU - Arif, Fatima AU - Zabihi, Fatemeh AU - Yang, Shengyuan AU - Munir, Shamsa AU - Zhu, Meifang AU - Abid, M. AU - Nauman, Muhammad ID - 9569 IS - 35 JF - RSC Advances TI - Heat induction in two-dimensional graphene–Fe3O4 nanohybrids for magnetic hyperthermia applications with artificial neural network modeling VL - 11 ER - TY - JOUR AB - We show that turbulent dynamics that arise in simulations of the three-dimensional Navier--Stokes equations in a triply-periodic domain under sinusoidal forcing can be described as transient visits to the neighborhoods of unstable time-periodic solutions. Based on this description, we reduce the original system with more than 10^5 degrees of freedom to a 17-node Markov chain where each node corresponds to the neighborhood of a periodic orbit. The model accurately reproduces long-term averages of the system's observables as weighted sums over the periodic orbits. AU - Yalniz, Gökhan AU - Hof, Björn AU - Budanur, Nazmi B ID - 9558 IS - 24 JF - Physical Review Letters SN - 0031-9007 TI - Coarse graining the state space of a turbulent flow using periodic orbits VL - 126 ER - TY - JOUR AB - While high risk of failure is an inherent part of developing innovative therapies, it can be reduced by adherence to evidence-based rigorous research practices. Numerous analyses conducted to date have clearly identified measures that need to be taken to improve research rigor. Supported through the European Union's Innovative Medicines Initiative, the EQIPD consortium has developed a novel preclinical research quality system that can be applied in both public and private sectors and is free for anyone to use. The EQIPD Quality System was designed to be suited to boost innovation by ensuring the generation of robust and reliable preclinical data while being lean, effective and not becoming a burden that could negatively impact the freedom to explore scientific questions. EQIPD defines research quality as the extent to which research data are fit for their intended use. Fitness, in this context, is defined by the stakeholders, who are the scientists directly involved in the research, but also their funders, sponsors, publishers, research tool manufacturers and collaboration partners such as peers in a multi-site research project. The essence of the EQIPD Quality System is the set of 18 core requirements that can be addressed flexibly, according to user-specific needs and following a user-defined trajectory. The EQIPD Quality System proposes guidance on expectations for quality-related measures, defines criteria for adequate processes (i.e., performance standards) and provides examples of how such measures can be developed and implemented. However, it does not prescribe any pre-determined solutions. EQIPD has also developed tools (for optional use) to support users in implementing the system and assessment services for those research units that successfully implement the quality system and seek formal accreditation. Building upon the feedback from users and continuous improvement, a sustainable EQIPD Quality System will ultimately serve the entire community of scientists conducting non-regulated preclinical research, by helping them generate reliable data that are fit for their intended use. AU - Bespalov, Anton AU - Bernard, René AU - Gilis, Anja AU - Gerlach, Björn AU - Guillén, Javier AU - Castagné, Vincent AU - Lefevre, Isabel A. AU - Ducrey, Fiona AU - Monk, Lee AU - Bongiovanni, Sandrine AU - Altevogt, Bruce AU - Arroyo-Araujo, María AU - Bikovski, Lior AU - De Bruin, Natasja AU - Castaños-Vélez, Esmeralda AU - Dityatev, Alexander AU - Emmerich, Christoph H. AU - Fares, Raafat AU - Ferland-Beckham, Chantelle AU - Froger-Colléaux, Christelle AU - Gailus-Durner, Valerie AU - Hölter, Sabine M. AU - Hofmann, Martine Cj AU - Kabitzke, Patricia AU - Kas, Martien Jh AU - Kurreck, Claudia AU - Moser, Paul AU - Pietraszek, Malgorzata AU - Popik, Piotr AU - Potschka, Heidrun AU - Prado Montes De Oca, Ernesto AU - Restivo, Leonardo AU - Riedel, Gernot AU - Ritskes-Hoitinga, Merel AU - Samardzic, Janko AU - Schunn, Michael AU - Stöger, Claudia AU - Voikar, Vootele AU - Vollert, Jan AU - Wever, Kimberley E. AU - Wuyts, Kathleen AU - Macleod, Malcolm R. AU - Dirnagl, Ulrich AU - Steckler, Thomas ID - 9607 JF - eLife TI - Introduction to the EQIPD quality system VL - 10 ER -